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R.K. Lazarsfeld Positivity in Algebraic Geometry II (Paperback) (UK IMPORT)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Author
R.K. Lazarsfeld
Book Title
Positivity in Algebraic Geometry II
EAN
9783540225317
ISBN
9783540225317
Format
Paperback
Publication Name
Positivity in Algebraic Geometry II
Title
Positivity in Algebraic Geometry II
Subtitle
Positivity for Vector Bundles, and Multiplier Ideals
Country/Region of Manufacture
DE
Item Height
235mm
Item Length
155mm
Genre
Science Nature & Math
Edition
2004 ed.
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Release Date
24/08/2004
Release Year
2004
Language
English
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Se

About this product

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540225315
ISBN-13
9783540225317
eBay Product ID (ePID)
43446228

Product Key Features

Number of Pages
Xvii, 385 Pages
Language
English
Publication Name
Positivity in Algebraic Geometry II : Positivity for Vector Bundles, and Multiplier Ideals
Publication Year
2004
Subject
Geometry / General, Geometry / Algebraic
Type
Textbook
Subject Area
Mathematics
Author
R. K. Lazarsfeld, University of Michigan Staff
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
44.1 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Reviews
From the reviews: "The main theme of this ... monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. ... The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006), From the reviews:"The main theme of this … monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. … The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006), From the reviews: "The main theme of this … monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. … The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)
Series Volume Number
49
Number of Volumes
1 vol.
Illustrated
Yes
Volume Number
Vol. II
Table Of Content
Notation and Conventions.- Two: Positivity for Vector Bundles.- 6 Ample and Nef Vector Bundles.- 7 Geometric Properties of Ample Bundles.- 8 Numerical Properties of Ample Bundles.- Three: Multiplier Ideals and Their Applications.- 9 Multiplier Ideal Sheaves.- 10 Some Applications of Multiplier Ideals.- 11 Asymptotic Constructions.- References.- Glossary of Notation.
Synopsis
This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete"., Here is the second part of a two volume work that contains a contemporary account of positivity in complex algebraic geometry. This volume begins with a survey of positivity for vector bundles and moves on to a systematic development of the theory of multiplier ideals and their applications. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments., Two volume work containing a contemporary account on "Positivity in Algebraic Geometry" Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete" A good deal of the material has not previously appeared in book form Volume II is more at the research level and somewhat more specialized than Volume I Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications Contains many concrete examples, applications, and pointers to further developments, This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover editionas Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".
LC Classification Number
QA564-609

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